Are you left eye dominant? Just being left handed don't make you shoot left handed,If your left eye dominant than you should shoot left handed,right eye dominant shoot right handed! I know a guy who is right handed but shoots left handed beause he is left eye dominant! IMO you should find out,that way you will get the most out of this addiction.
Other than that I agree with the other guys find what feels good to you,I hate when I see people try and talk someone into a certain brand,we all have our favorites as will you as your addiction grows!
You will also need to decide if you are going to shoot with a release or with fingers,if you go with finger shooting you will want to look at longer axle to axle bows,The one thing that I would recommend, is going with a release due to the fact that most bows are of the shorter style.
You should have no problem finding a good set up in your budget range!
Good luck and agian WELCOME to the addiction!